Science & Math | Mathematics

An Introduction to Homological Algebra

by Charles A. Weibel

2020-08-29 01:57:31

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The landscape of homological algebra has evolved over the past half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology... Read more
The landscape of homological algebra has evolved over the past half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras is also described. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. Less

Book Details

File size9.13 X 6.1 X 1.14 in
Print pages468
PublisherCambridge University Press
Publication date October 27, 1995
Languageeng
ISBN9781139632348
autor-image
Charles A. Weibel
Author
...

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